Variables and Patterns/Stretching and Shrinking

October 9, 2007

HW

2.2 and 2.3 Complete with follow - up
ACE 3: 5, 7, 9
MR page 27

September 25 - Alex

Notes

Journal 5.2

A.1-Think about the equation and make a table.
Equation: y=3x
2.X 0 1 2 3 4 5 6 7
Y 0 3 6 9 12 15 18 21
3. If x= 5,y= 15
B.1.Equation: y= 0.5x+2
2.X 0 1 2 3 4 5 6 7
Y 2 2.5 3 3.5 4 4.5 ll5 5.5
3. If x=5,y=4.5

September 24 - Avita - 5.1

Notes

Journal

A 1. Set 1 - y=3x - 4 and y=3x + 2 have graphs that are similar. Set 2 - y=3x and y=1x
have graphs that are similar. Set 3 - y=2x + 3 and y=2x - 5 have graphs that are similar.
Set 4 - y=2/x and y=2x
A 2. Set 1 - the graphs slant the same way. Set 2 - the graphs both cross each other.
Set 3 - the graphs both meet at some point. Set 4 - the graphs will eventually meet.
A 3. Set 1 - the equations both have 'y=3x'. Set 2 - The equations both have 'x' numbers
that are close to each other. Set 3 - They both have 'y=2x'. Set 4 - they both have 'y=2'
B 1. Set 1 - y=x². Set 2 - y=5. Set 3 - y=0.5x + 2. Set 4 - y=x + 5.
B 2. Set 1 - the graph curves differently. Set 2 - The graph is a straight horizontal line.
Set 3 - the graph is at a different angle. Set 4 - the graph curves in a different direction.
B 3. Set 1 - y=x² has an exponent. Set 2 - y=5 doesn't have an independent variable.
Set 3 - y=0.5x + 2 has a decimal which is added with 2. Set 4 - y=x + 5 doesn't have a
number which is multiplied or divided by the dependent variable.
Follow Up:
a. y=4
b. y=1 ⅓
c. y=13
d. the equation is y=2x

x	0	1	2	3	4	5	6
y	0	2	4	6	8	10	12

Homework

September 20 - Anders

Notes

Journal

Homework

September 16, 2007

Notes

Here are some things we would like to see on our wiki (started by 7H)...
scanned work (best examples)
Journal questions and answers
Big understandings and Essential questions (and answers)
video of a lesson
pictures of people working on problems in class
home and journal assignments
calendar
forum

Journal

Homework

Remember, we have a quiz next class, September 18, 2007!

Please type your name below to show that you are a member and you know how to click the <Edit This Page> button and how to click the <Save> button:

Mr. Cooper (example)
Sneha mathew
Avita Streatfield
Akbar Sattar
Pailin Rinfret
Mee Ae Yu
Ice Manityakul

Please log into the class wiki, add your name to the "name" list (above) and the "things we'd like to see" list.
Remember, we have a quiz next class, September 18, 2007!
please bring 3 or more suggestions for improving our Learning Environment (due sept 24)
Complete 4.3 with follow-up
Complete Mathematical Reflections page 60
ACE 4:3, 5, 7, 11

September 12 -

4.1 - Esther

Notes

Journal

Homework

4.2 - Sneha

Notes

Journal

A- Make table of time and distance data,similar to the table you made in 4.1.
A- On the table of 4.1.
B- How are the tables for the 3 speeds similar? How are they different?
B- Yes, the tables are similare because the numbers are very close together they are just a little ahead or they are behind.Like for
1 hour the distance for 55mph is 55,50mph the distance is 50 and for 65mph the distance is 65.
C- How are the graphs similar ?How are they different?
C- Yes, the graphs are similar because they are very close to each other.
D-1- Look at the table and graph for 65mph.what pattern do you see? In words,write a rulethat explains how to calculate the distance.
D-1- I can see that you can ho much farther in 65mph than in 50 or 55 mph.I think that the rule should be distance is 65thimes the hour.
D-2- Use symbols to write your rule as an equation.
D-2- D=65xh
E-1- Write a rule in words that explains how to calculate the distance traveled for any given time.
E-1- I thind taht the rule should be the same as before because they are like the same things. Distance is 50 times the hour
E-2- Use symbols to write your equations.
E-2- D= 50xh
F- How are the rules for calculating distance for the three speeds similar? how are they different?
F- I think that to find the distance was the same on all three of them because in them you are suposed to multiply it by the hour.

Follow up-
1- I think that this equation is distance is 60times time.
2-it would take us 6hours for 50mph, 5 1/10

Homework

ACE4# :1, 8, 9, 13

September 10, 2007

3.3 Mee Ae

Notes

- decided to charge $350 per person for the tour.
- to estimate their profet, they consider the expenses involving in running the tour.

Journal

A. Customers=> Profit
10 150
25 382
40 600

B. Customers=> Profit
200 14
500 34
600 40

C. As the customers increase, obviously the profit will also increase. This shows on the graph by just a diagonal line going right.
D. The profit will be different because they would get more money or profit if they reduce their expenses.

Problem 3.3 Follow-up

1 person- $15 (profit)
1,000 person- $5,000 (profit)
10 person- $150 (profit)

Homework

3.4 Zareen

Notes:

Journal 3.4 and Follow Up

Homework

September 6, 2007

3.1 - Ice

Notes:

This Problem/Investigation is called "Renting Bicycles." A company called Ocean and History Bike Tours needed rented bicycles for customers. They surveyed the rental fees of two companies called "Rocky's Cycle Center" and "Adrian's Bike Shop". Rocky's sent a table of their fees and Adrian sent a graph. Then we made a table for Adrian's and a graph with both companies' fees on it.

Journal 3.1 - Renting Bicycles

Adrian's Rental Fees:

Number of Bikes	5	10	15	20	25	30	35	40	45	50
Rental Fee ($)	180	300	440	600	780	900	1020	1200	1380	150

Rocky's Rental Fees:

Number of Bikes	5	10	15	20	25	30	35	40	45	50
Rental Fee ($)	400	535	655	770	875	975	1070	1140	1180	1200

Coordinate Graph:

1. After looking at the tables and graphs I decided that Adrian's Bike Shop was a wiser chose for the customers because it was way cheaper. I also noticed that when you rent less than 37 bikes you should rent the bikes at Adrian's, but when you rent more than 37 bikes you should rent it at Rocky's Cycle Shop.

2. I noticed that in Rocky's graph, that when you finish connecting all the dots when the pattern reaches onto 35 bikes they start to drop down from that point on.
3. After connecting all the point on Adrian's graph i noticed that the points stay the same, it doesn't decrease or drop down.

4. On Rocky's Table, the patterns appear the same as on Problem 2, no differences in between.

5. On Adrian's Table, the patterns appear the same as on Problem 3, no differences in between.

Homework

3.2 MJ

Notes

Journal

Homework

September 2, 2007 - YooRin

Notes

Journal 2.5

A. Theo's fastest speed was 20 mph which occured in 90 minutes.
B. His slowest recorded speed was 0. But during his ride he got a record of 0 which occured in 40 minutes.
C. Every 10 minute, his speed was increasing and decreasing very often.
D.1)The speed just increases in a constant rate.
2)In the begging he rushed but as time passed he slowed down.
3)He slowed down in the begging but speeded up later.
4)He didn't move for quite a time and then speeded up really fast as time passed.
5)He shooted up in the beggining and slowed down later.

FOLLOW - UP
1) I think its impossible because his speed is rising up but he is not traveling anywhere and just stay in the same place.
2) From 40~50 minute Theo's speed changed most rapidly.

Homework

August 29, 2007 - Adam

Notes

Journal

Homework

August 27, 2007

2.1 Tristan

Notes

1.Start at 8:00am
2.End at 4:00pm
3.Distance is 89 miles
4.Time it takes to finish is 8 hours
5.Visit 1 citiy and one state
6.1 break for 1 hour and 30 minutes

Journal-2.1 Day 1:Pilidelphia to Atlantic City

REPORT:
The seven students Sidney, liz, Celia, Malcom, Theo, Sara, and Tony all started thier bike tour at 8:00am in the morning near the Liberty Bell and the Independence hall in Philidelphia Pensylvania. They started thier bike tour. The first hour was a great start with a slight breeze to thier back on a flat path. The next hour the wind was in their face while going up a slanted hill about a 20 degree angle. They finally got over the hill and were starting to go down. The hill didn't last that long but now the wind was on thier back giving them a nice push on the bumpy trail. At 11:00am they got a flat tire by a lake. They fixed it but they dicided to say and have lunch thier and take a swim. At noon they decided to hit the road so they left the lake. They also stopped to look at landsapes and nice views. At 1:00pm they saw the time and decided to pick up the pace. They did stop a couple more times to use the bathroom. From 2:00pm to 4:00pm they were pedalling up and down hills until they finally reached thier destination. It took them 8 hours to travel 89 miles.

Homework

2.2 - Akbar

Notes

Journal

Homework

August 21, 2007 - Pailin

Notes

none

Journal

A. Make a graph of your jumping jack data
( graph attached)

B. What does your graph show about jumping jack rate as time passes? (Another way to say this is, What does your graph show about the relationship between the number of jumping jacks and time?)

As the seconds went by, the jumping jacks increased, some seconds had more jumping jacks the others but they always increased.
Follow up:
I think the table is better for seeing the numbers, but for the relationships you can see on the graph that as the time goes by the number of jumping jacks increased.

Homework

August 19, 2007 - Sreerag

Problem 1.2 Making Graphs

Notes

Jumping jacks and time are variables
Dependent variable goes in Y-axis and Independent goes in X-axis
In the scale try to have 12 numbers most

Journal

Problem 1.2

A. On the graph

B.What does your graph show about jumping jack rate as time passes
B. My jumping jack graph shows that the relationship between jumping jacks and time is that jumping jack needs something to be measured in and time is one of them.

Problem 1.2 follow up
1. Is the relationship you found between the jumping jack and time easier to see in table or the graph? Explain your answer.
1. the relationship between the jumping jack and time is easier to see in a table because it gives the exact information and dosent make you look all over the page to find out.

Homework

ACE 1, 3, 5

August 15, 2007